3D elastic dental analysis by a local RBF collocation method

被引：11
|
作者：
Zheng, Hui [1 ,2 ,4 ]
Wu, M. X. [1 ,2 ]
Shi, Yan [1 ,2 ]
Deng, Cheng [1 ,2 ]
Zhang, C. Z. [3 ]
机构：
[1] Nanchang Univ, Sch Civil Engn & Architecture, Nanchang 330031, Jiangxi, Peoples R China
[2] Nanchang Univ, Stomatol Hosp, Dept Conservat Dent & Endodont, Jiangxi Prov Key Lab Oral Biol, Nanchang 330006, Jiangxi, Peoples R China
[3] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
[4] Commun Design & Res Inst Co Ltd Jiangxi Prov, Nanchang 330052, Jiangxi, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2021年 / 99卷
基金：
中国国家自然科学基金;
关键词：
Radial basis function; Complex geometry reconstruction; 3D elastic dental analysis; Collocation method; DATA APPROXIMATION SCHEME; MESHLESS; MULTIQUADRICS; PREMOLAR; STRESSES;
D O I：
10.1016/j.apm.2021.06.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the local radial basis function collocation method (LRBFCM) is presented to analyze 3D elastic problems of complex geometries. In particular, a real tooth domain built by cone beam computer tomography (CBCT) data is considered. The reconstruction process of a tooth shape, the choice of the local influence domain in the LRBFCM, as well as the treatments of the boundary conditions are detailed described in this paper. Linear elastic analyses of five different examples are carried out to validate the effectiveness of the pro-posed approach. The stress difference between a tooth with the dental caries and a healthy tooth is investigated and discussed by the 3D elastic deformation and stress analysis. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：41 / 56
页数：16
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